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Sagot :
The fraction of volume of the first glass is [tex]$\frac{8}{9}$[/tex] of the second glass.
- In arithmetic, a number of expressed as a quotient, wherein a numerator is divided by way of a denominator is known as a fragment.
- In a easy fraction, each are integers.
- a fragment appears within the numerator or denominator of a complicated fraction.
- The numerator of a right fraction is less than the denominator.
- Now allow us to solve the given query the usage of those residences of fractions.
let the overall extent of the first glass be x cubic devices.
Therefore volume of water in the glass = [tex]\frac{3}{4}x[/tex] cubic units.
Now the water from the first glass is poured into the second glass and the second glass becomes [tex]\frac{2}{3}[/tex] full. Let the total volume of the second glass be y.
Therefore [tex]\frac{2}{3}y=\frac{3}{4} x[/tex]
Or,[tex]y=\frac{9}{8}x[/tex]
Now, required fraction=Volume of first glass/Volume of second glass
or, fraction=[tex]\frac{x}{y}[/tex]
or, fraction=[tex]\frac{8}{9}[/tex].
The Volume of the first glass is [tex]$\frac{8}{9}$[/tex] of the second glass.
To learn more about fractions:
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